9849

9849 is a natural number that follows 9848 and precedes 9850. In decimal notation its digits are 9, 8, 4, and 9, giving it a digital sum of 30 and a digital root of 3.

Mathematical properties of 9849 include its factorization and divisor structure. It is an odd, composite number with the prime factorization 9849 = 3 × 7^2 × 67. Accordingly, it has 12 divisors: 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, and 9849. This also shows that 9849 is divisible by 3 but not by 9, since the digit sum is 30, which is a multiple of 3 but not of 9. The number is congruent to 1 modulo 4 and 1 modulo 8.

In broader mathematical use, 9849 can serve as an example for illustrating factorization, divisor counting, and modular arithmetic. It does not correspond to a widely recognized constant, and there is no well-known special property or named significance attached to it beyond its basic arithmetic characteristics. As a four-digit composite number, it often appears in problem sets and discussions focusing on prime factorization and divisor structure.